Answer:
see explanation
Step-by-step explanation:
(1)
given
4x² = 81 ( divide both sides by 4 )
x² = [tex]\frac{81}{4}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{81}{4} }[/tex] = ± [tex]\frac{9}{2}[/tex]
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(2)
subtract 7 from both sides
(4x - 3)² = 32 ( take the square root of both sides )
4x - 3 = ± [tex]\sqrt{32}[/tex] = ± 4[tex]\sqrt{2}[/tex]
Add 3 to both sides
4x = 3 ± 4[tex]\sqrt{2}[/tex] ( divide both sides by 4 )
x = [tex]\frac{3}{4}[/tex] ± [tex]\sqrt{2}[/tex]
